Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 428/19,2372/590
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 428,2372
Greatest Common Factor of Numerators i.e. GCF of 428,2372 is 4 .
LCM of Denominators means LCM of 19,590 as per the given fractions.
LCM of 19,590 is 11210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 428,2372
2 | 428, 2372 |
2 | 214, 1186 |
107, 593 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 2372
List of positive integer factors of 2372 that divides 2372 without a remainder.
1,2,4,593,1186,2372
Greatest Common Factor
We found the factors 428,2372 . The biggest common factor number is the GCF number.
So the greatest common factor 428,2372 is 4.
Lets's calculate LCM of 19,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 11210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11210
Therefore, the GCF of Fractions 428/19,2372/590 is 4/11210
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 19,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,590) x common factors =1 x 1 = 1
LCM(19,590) = ( 19 × 590 ) / 1
LCM(19,590) = 11210 / 1
LCM(19,590) = 11210
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 428/19, 2372/590?
Answer: GCF of Numerators as per given numbers 428/19, 2372/590 is
GCF of Numerators i.e. for 428,2372 is 4
LCM of denominators i.e. for 19,590 is 11210.
Thus, GCF of Fractions is 4/11210.Finally, GCF of Fractions for 428/19, 2372/590 is 4/11210.